Q26 / 150 · MHT CET 2026 (15 April Shift 1) · Chemistry

What is the value of the slope of a graph obtained by plotting the concentration of reactant $(A)_t$ versus time for zero order reaction?

  • Correct answer
    A
    $-k$
  • B
    $1/2k$
  • C
    $k/2.303$
  • D
    $2.303/k$

Solution

For a zero order reaction, the rate of reaction is independent of the concentration of the reactant.

The integrated rate equation for a zero order reaction is given by:

$[A]_t = -kt + [A]_0$

where $[A]_t$ is the concentration of the reactant at time $t$, $[A]_0$ is the initial concentration, and $k$ is the rate constant.

Comparing this equation with the equation of a straight line $y = mx + c$, we get:

$y = [A]_t$

$x = t$

$m = -k$

$c = [A]_0$

Thus, plotting the concentration of reactant $[A]_t$ versus time $t$ yields a straight line with a slope of $-k$.

Answer: $-k$

Hence, the correct answer is option: 'A'.

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